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121322313333 = 32134125291289
BaseRepresentation
bin111000011111101011…
…1111001011001110101
3102121011011100002101100
41300333113321121311
53441432003011313
6131422410120313
711523323435214
oct1607727713165
9377134302340
10121322313333
11474a8312761
121b61a720099
13b5961356b0
145c2cbd507b
153251102173
hex1c3f5f9675

121322313333 has 24 divisors (see below), whose sum is σ = 193326620760. Its totient is φ = 72838909440.

The previous prime is 121322313331. The next prime is 121322313349. The reversal of 121322313333 is 333313223121.

121322313333 is a `hidden beast` number, since 1 + 2 + 1 + 322 + 3 + 1 + 3 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 164019249 + 121158294084 = 12807^2 + 348078^2 .

It is not a de Polignac number, because 121322313333 - 21 = 121322313331 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121322313297 and 121322313306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121322313331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12640848 + ... + 12650441.

It is an arithmetic number, because the mean of its divisors is an integer number (8055275865).

Almost surely, 2121322313333 is an apocalyptic number.

121322313333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

121322313333 is a deficient number, since it is larger than the sum of its proper divisors (72004307427).

121322313333 is a wasteful number, since it uses less digits than its factorization.

121322313333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25291349 (or 25291346 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 121322313333 its reverse (333313223121), we get a palindrome (454635536454).

The spelling of 121322313333 in words is "one hundred twenty-one billion, three hundred twenty-two million, three hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 4797 25291289 75873867 227621601 328786757 986360271 1036942849 2959080813 3110828547 9332485641 13480257037 40440771111 121322313333